5 24 = x 144 24 5 ​ = 144 x ​ x = x=

To solve for \( x \) in the equation

\[ \frac{5}{24} = \frac{144}{x} \]

you can cross-multiply:

\[ 5x = 24 \cdot 144 \]

Now, calculate \( 24 \cdot 144 \):

\[ 24 \cdot 144 = 3456 \]

So the equation becomes:

\[ 5x = 3456 \]

Next, divide both sides by 5 to isolate \( x \):

\[ x = \frac{3456}{5} \]

Now calculate \( \frac{3456}{5} \):

\[ x = 691.2 \]

Thus, the final answer is:

\[ x = 691.2 \]